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Finding the Third Proportional to 70,552 and 148,376

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Solution

The third proportional to 70,552 and 148,376 is: 312,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,552 : 148,376 = 148,376 : x
  2. Step 2: Convert to fraction form
    70,552/148,376 = 148,376/x
  3. Step 3: Cross multiply
    70,552x = 148,376 × 148,376
  4. Step 4: Simplify right side
    70,552x = 22,015,437,376
  5. Step 5: Solve for x
    x = 22,015,437,376/70,552
  6. Step 6: Final answer
    x = 312,045.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.